<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-19T00:37:14Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/50126" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/50126</identifier><datestamp>2022-01-13T07:54:11Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131023</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Rudrapatna Ramnath.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Bibeau, Robert T. (Robert Thomas), 1975-</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department">Massachusetts Institute of Technology. Department of Aeronautics and Astronautics</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2009-12-10T19:16:15Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2009-12-10T19:16:15Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">1999</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">1999</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/50126</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">48196947</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1999.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (p. 141-143).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">A procedure is developed to calculate locally optimal trajectories for a class of fixed-trim atmospheric re-entry vehicles. A four degree-of-freedom vehicle model is introduced and appropriate environmental models are chosen and implemented. Software is developed to discretize the optimal control problem using a direct collocation method. The resulting parameter optimization problem is solved using the MINOS non-linear programming software package. The resulting collocation guidance software is tested using data for the Kistler K-1 vehicle system and an existing vehicle simulation. Mass, wind, density, and entry angle dispersions are considered, as are various strategies for updating the trajectory during flight. The results demonstrate that the collocation method is a viable approach to the re-entry vehicle guidance problem. The collocation method integrates the vehicle equations of motion to a useful degree of accuracy using as few as 10 nodes, and the resulting control histories yield acceptably small final position errors.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Robert T. Bibeau.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.M.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">143 p.</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
   <dim:field mdschema="dc" element="rights" lang="en_US">M.I.T. theses are protected by &#xd;
copyright. They may be viewed from this source for any purpose, but &#xd;
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permission. See provided URL for inquiries about permission.</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="uri" lang="en_US">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Aeronautics and Astronautics.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Trajectory optimization for a fixed trim re-entry vehicle using direct collocation with nonlinear programming</dim:field>
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   	&lt;Title>Trajectory optimization for a fixed trim re-entry vehicle using direct collocation with nonlinear programming&lt;/Title>
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   	&lt;PublicationDate>1999&lt;/PublicationDate>
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        	&lt;DisplayName>Bibeau, Robert T. (Robert Thomas), 1975-&lt;/DisplayName>
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    &lt;Keyword>Aeronautics and Astronautics.&lt;/Keyword>
   	&lt;Abstract>A procedure is developed to calculate locally optimal trajectories for a class of fixed-trim atmospheric re-entry vehicles. A four degree-of-freedom vehicle model is introduced and appropriate environmental models are chosen and implemented. Software is developed to discretize the optimal control problem using a direct collocation method. The resulting parameter optimization problem is solved using the MINOS non-linear programming software package. The resulting collocation guidance software is tested using data for the Kistler K-1 vehicle system and an existing vehicle simulation. Mass, wind, density, and entry angle dispersions are considered, as are various strategies for updating the trajectory during flight. The results demonstrate that the collocation method is a viable approach to the re-entry vehicle guidance problem. The collocation method integrates the vehicle equations of motion to a useful degree of accuracy using as few as 10 nodes, and the resulting control histories yield acceptably small final position errors.&lt;/Abstract>
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